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Q.

Write the condition for unique solution of linear equation:


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a

a1a2=b1b2=c1c2             

b

a1a2b1b2

c

a1a2=b1b2c1c2               

d

None 

answer is B.

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Detailed Solution

Suppose there is system of equation such that,
a1x+b1y+c1=0a2x+b2y+c2=0
For the equation, condition for the unique solution is,
a1a2b1b2             (for intersecting lines)
For the equation, condition for the infinite solution is,
a1a2=b1b2=c1c2              (for coincident lines)
For the equation, condition for no solution is,
a1a2=b1b2c1c2                (for parallel lines)
Thus, condition for unique solution of linear equation
a1a2b1b2
So, option 2 is correct.
 
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